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Type: Artigo de periódico
Title: On Ill-posedness For The Generalized Bbm Equation
Author: Carvajal X.
Panthee M.
Abstract: We consider the Cauchy problem associated to the generalized Benjamin-Bona-Mahony (BBM) equation for given data in the L2-based Sobolev spaces. Depending on the order of nonlinearity and dispersion, we prove that the Cauchy problem is ill-posed for data with lower order Sobolev regularity. We also prove that, in certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth.
Editor: Southwest Missouri State University
Rights: fechado
Identifier DOI: 10.3934/dcds.2014.34.4565
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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